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2 years ago

Find the values of x and y

Mathematics

1 answer:

Readme [11.4K]2 years ago

3 0

y=5

x=30

Explanation: since all 3 angles of triangles are marked equal we can see that it is equilateral which means 8y=40 so y=5. Then we can find that the other triangle is an 120 30 30 triangle thus x is 30. You can also do this if you can see straight away that the big triangle is a 30-60-90 triangle and just use 90-60.

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Given the following expression, what is the rate of decay (write in decimal form, not as a percentage)? 15000 (.87)^7

34kurt

Answer:

0.87

Step-by-step explanation:

y = ab^x

b is the rate of decay if it is between 0 and 1. Here, b = 0.87.

Answer: 0.87

6 0

2 years ago

he amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.3 minutes and s

sp2606 [1]

Complete question:

He amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.3 minutes and standard deviation 1.4 minutes. Suppose that a random sample of n equals 47 customers is observed. Find the probability that the average time waiting in line for these customers is

a) less than 8 minutes

b) between 8 and 9 minutes

c) less than 7.5 minutes

Answer:

a) 0.0708

b) 0.9291

c) 0.0000

Step-by-step explanation:

Given:

n = 47

u = 8.3 mins

s.d = 1.4 mins

a) Less than 8 minutes:

$P(X$

P(X' < 8) = P(Z< - 1.47)

Using the normal distribution table:

NORMSDIST(-1.47)

= 0.0708

b) between 8 and 9 minutes:

P(8< X' <9) = $[\frac{8-8.3}{1.4/ \sqrt{47}}< \frac{X'-u}{s.d/ \sqrt{n}} < \frac{9-8.3}{1.4/ \sqrt{47}}]$

= P(-1.47 <Z< 6.366)

= P( Z< 6.366) - P(Z< -1.47)

Using normal distribution table,

$NORMSDIST(6.366)-NORMSDIST(-1.47)$

0.9999 - 0.0708

= 0.9291

c) Less than 7.5 minutes:

P(X'<7.5) = $P [Z< \frac{7.5-8.3}{1.4/ \sqrt{47}}]$

P(X' < 7.5) = P(Z< -3.92)

NORMSDIST (-3.92)

= 0.0000

3 0

2 years ago

The perimeter of a rectangle room is 250 feet the length is 35 feet less than three times the width what is the length of the ro

raketka [301]

Perimeter of rectangle:
P = 2(L + W)
P = 250 (given)
L = 3W - 35 (given)

250 = 2(3W -35 + W) ↔ 125 = 4W - 35

4W = 125 +35 =160 And W = 40 ft
And L = 3x40 - 35 = 85 ft

6 0

2 years ago

The sum of two even consecutive integers is 46 find the intergers

Anarel [89]

Answer:

First number = 22

Second number = 24

Step-by-step explanation:

Let the first number = x

Let the second number = x + 2

According to the question ,

The sum of two even consecutive ingers = 46.

so,

x + x + 2 = 46

2x + 2 = 46

2x = 46 - 2

2x = 44

x = 44 / 2

x = 22

∴ FIRST NUMBER = X

= 22

SECOND NUMBER = X + 2

= 22 + 2

= 24.

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3 years ago

A function has the rule y= -2x+11

Anon25 [30]

Input is 4
so y=-2(4)+11
y=-8+11
y=11-8
y=3
Ans
(4,3)

4 0

2 years ago

Read 2 more answers